Results 101 to 110 of about 1,617,592 (202)
Travelling Waves for the Gross-Pitaevskii Equation
, 2017 本文的目標是探討Fabrice Bethuel,Philippe Gravejat,和 Jean-Claude Saut 在Gross- Pitaevskii方程式中關於二,三維度的行波解 c∂1u + ∆u + u(1 − |u|2) = 0 前四章節我們透過最小化能量在動量固定下來探討解之存在性,並提供一些構造 這些定理的動機。 最後一章節我們討論Gross-Pitaevskii equation未來的研究方向。In this thesis, Fabrice Bethuel, Philippe ...
葉冠廷, Yeh, Kuan-Ting
core
Vortex rings for the Gross-Pitaevskii equation
, 2004 We provide a mathematical proof of the existence of traveling vortex rings solutions to the Gross-Pitaevskii (GP) equation in dimension N 3 3. We also extend the asymptotic analysis of the free field Ginzburg-Landau equation to a larger class of ...
Orlandi, G. +5 more
core +1 more source
Physical Review Research, 2020 We propose a superfluid phase of “many-fracton system” in which charge and total dipole moments are conserved quantities. In this work, both microscopic model and long-wavelength effective theory are analyzed. We start with a second quantized microscopic
Jian-Keng Yuan, Shuai A. Chen, Peng Ye
doaj +1 more source
Tensor network methods for the Gross–Pitaevskii equation on fine grids
New Journal of PhysicsThe Gross–Pitaevskii equation and its generalisations to dissipative and dipolar gases have been very useful in describing dynamics of cold atomic gases, as well as polaritons and other nonlinear systems.
Ryan J J Connor +2 more
doaj +1 more source
The Dynamical Casimir Effect in quasi-one-dimensional Bose condensates: the breathing ring
Comptes Rendus. PhysiqueWe present a detailed investigation of one of the cleanest examples where it is possible to detect the “analog” Dynamical Casimir Effect in a Bose–Einstein condensate: an ultracold atom gas in toroidal confinement.
Tettamanti, Manuele, Parola, Alberto
doaj +1 more source
Effective Dynamics for N-Solitons of the Gross–Pitaevskii Equation [PDF]
Journal of Nonlinear Science, 2012 18 pages, 11 ...
openaire +4 more sources
Physical Review ResearchSolving partial differential equations across multiple length scales represents a formidable challenge where reaching high precision can require a prohibitive amount of computer memory or computing time.
Marcel Niedermeier +4 more
doaj +1 more source
Exact soliton solutions of the generalized Gross-Pitaevskii equation based on expansion method
AIP Advances, 2014 We give a more generalized treatment of the 1D generalized Gross-Pitaevskii equation (GGPE) with variable term coefficients. External harmonic trapping potential is fully considered and the nonlinear interaction term is of arbitrary polytropic index of ...
Ying Wang, Yu Zhou
doaj +1 more source
Partial Differential Equations in Applied MathematicsWe investigate the spatial profiles of periodic localized modes in attractive Bose-Einstein condensates, by solving the mean-field Gross-Pitaevskii equation in the presence of elliptic-type periodic potential.
Nkeh Oma Nfor +2 more
doaj +1 more source
International Journal of Applied Mathematics and Computer Science, 2019 The present work departs from an extended form of the classical multi-dimensional Gross–Pitaevskii equation, which considers fractional derivatives of the Riesz type in space, a generalized potential function and angular momentum rotation.
Hendy Ahmed S., Macías-Díaz Jorge E.
doaj +1 more source